If you add Natalie's age and Fred's age, the result is 42. If you add Fred's age to 3 times
Natalie's age, the result is 70. Write and solve a system of equations to find how old Fred and
Natalie are.

Answers

Answer 1

Answer:

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Step-by-step explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.


Related Questions

For 2 + 5(x-3) > 3x + 11, the answer is x>

Answers

Answer:

x >12

Step-by-step explanation:

2 + 5(x-3) > 3x + 11

Distribute

2 + 5x - 15 > 3x+11

Combine like terms

5x -13 > 3x+11

Subtract 3x from each side

5x-13-3x> 3x+11-3x

2x-13 > 11

Add 13 to each side

3x-13+13> 11+13

2x> 24

Divide by 2

2x/2 > 24/2

x >12

Find the Surface area of the following figure below

Answers

Answer:

495

Step-by-step explanation:

Base area = 11*11 = 121

Lateral area = (11*4)*17/2 = 11*2*17 = 374

121+374=495

And pyramid consists of 4 triangles and 1 square. To find the surface area of the figure you need to find the area for those shapes. The formula for area for those shapes are.
Triangle area is A = 1/2*B*H (B meaning base and h meaning height)
Rectangle area is A = L * W (L meaning length and W meaning width)
So the you have triangles with a base of 11 and height of 17 so 11*17*(1/2). That value times 4 because there are 4 of them so you get. 374 meters^2
Then you have the rectangle which is 11*11 so 121 add that to 374 and you get 495 meters^2 so the surface area is 495 meters^2 if I did it correctly.

Can someone help me out please.

Answers

Answer:

area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²

Step-by-step explanation:

Answer:

142.5 in^2

Step-by-step explanation:

Area of trapezoid= a + b  / 2 · h         (a and b are bases of the trapezoid)

A= 5 + 10 / 2 · 19

A= 15 / 2 · 19

A= 7.5 · 19

A= 142.5 in^2

This is just one way to do it. There are many more ways.

Determine the projection of u=1.6i+3.3j in the v=-2.1-.5j direction.

A.8i+.2j

B.2.3i+.5j

C. -.6i-1.3j

D. -1.2i-1.1j

Answers

Answer:

[tex]0.80i +0.2j[/tex]

Step-by-step explanation:

The projection of u on v is expressed as;

[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]

Given

u=1.6i+3.3j

v=-2.1i-.5j

u*v = (1.6i+3.3j )*(-2.1i-0.5j )

u*v = 1.6i(-2.1i) + 3.3j(-0.5j)

u*v = -3.36 - 1.65

u*v = -5.01

|v|² = (√(-2.1)²+(-0.5)²)²

|v|² = (-2.1)²+(-0.5)²

|v|² = 4.41+0.25

|v|² = 4.66

Substitute into the formula;

[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]

In comparison to where would be
located on a number line?
A.closer to 0
B.the same point
C.closer to 1
D.at 0

Answers

B, the same point. 1/3 is equivalent to 2/6.

The graph shown is a scatter plot:

A scatter plot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point A has coordinates 8 and 70. Point B has coordinates 1 and 20, point C has coordinates 3 and 40, point D has coordinates 7 and 30. Additional points are located at 2 and 10, 2 and 20, 3 and 30, 5 and 50, 5 and 40, 7 and 70, 7 and 60.
Which point on the scatter plot is an outlier? (4 points)

Group of answer choices

Point D

Point B

Point C

Point A

Answers

you’re answer is b.
i did this already

Answer:

D

Step-by-step explanation:

if we see on the graph, the point which is scattered is point D !
also took the FLVS test!!

A cube. Point B is the top right point of the top face. Point A is the bottom left point of the bottom face and point C is the top right point of the bottom face. Diagonals are drawn from B to A and from A to C. Side B C is 10 inches long, and Side A B is StartRoot 300 EndRoot inches long. What is the length of Side A C? 14 in. StartRoot 200 EndRoot in. StartRoot 290 EndRoot in. 20 in.

Answers

Answer:

the answer is b

Step-by-step explanation:

i just did the assignment

Answer:

b

Step-by-step explanation:

Please help! I don't know where to start

Answers

Answer:

First find the sum of 15 n-1

Step-by-step explanation:

then you can continue to 2n-1

I NEED HELP WITH MATH PLS
screenshot is posted below

Answers

Answer: The correct answer is A or B

`

Step-by-step explanation:

what is m (angle) 2 if m (angle) 4 = 120°?​

Answers

Answer:

if 4 is 120° then 2 is also 180° since they are opposite angles.

Find the distance between the points (–10,3) and (–2,3).

Answers

Answer:

8

Step-by-step explanation:

10 - 2

9. Find x. Round answer to nearest whole number.
A) 58
B) 59
C) 60
D) 61

Answers

Answer:

the answer. is 60 because you round of 64

PLEASEEE EEEEENSDNN’SJSJ I STG PLEASE HELP ME

Answers

Rhombuses and parallelograms are always quadrilaterals, having four sides.

However, they both don't always have equal side lengths, although sometimes they do.

I hope this helps ^^

HELP PLEASE 50 POINTS
expression with its simplified form.

Answers

A fraction is in simplest form if the top and bottom have no common factors other than 1. In other words, you cannot divide the top and bottom any further and have them still be whole numbers.

What is the product of (3y^-4)(2y^-4)?

Answers

Answer:

6/ y^8

Step-by-step explanation:

The answer is 6/y^8

Find the derivative of f(x) = 8x + 4 at x = 9. (6 points)

Answers

Answer:

f(x) = 76

Step-by-step explanation:

All you do is plug-in for x: (x = 9)

f(x) = 8x + 4

f(x) = 8(9) + 4

f(x) = 72 + 4

f(x) = 76

HEY GUYS COULD YOU HELP ME WITH THESE TWO QUESTIONS!!! DON'T WORRY YOU'LL GET YOUR POINTS!!

Answers

Answer:

i am unsure

Step-by-step explanation:

I HEART POINTS

x+y=94 -> y=94-x
x-y=12
Substitute: x-(94-x)=12
Distribute: x-94+x=12
Simplify: 2x=106
Solve: x=53

Plug x back into equation
x-y=12
53-y=12
y=41

x= 53, y=41

Second Question:
8+x=y
x+y = 66
Substitute: x+8+x =66
Simplify: 2x+8 =66
Solve : x=29

Plug x back into equation
x+y=66
29+y=66
y = 37

x=29, y=37

which of the following segments is a diameter of 0?​

Answers

Answer:

ZX

Step-by-step explanation:

Write the percent as a fraction and as a decimal.

5% tax

Fraction (simplified) -
Decimal -​

Answers

Your answer is 0.05 because if you put 0.5 that is .50

Answer:

Fraction = [tex]\frac{1}{20}[/tex] and Decimal = 0.05

Step-by-step explanation:

Percent means, some number over a hundred.

in this case we have 5%

[tex]\frac{5}{100} = \frac{1}{20}[/tex]

and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.

Please help!!!!! 8th grade mathHint not A

Answers

Answer:

c

Step-by-step explanation:

it passes vertical line test and is linear

Answer:

C

Step-by-step explanation:

The answer is C. Hoped it helped.

Can someone match all of these definitions to all five words for me? I’m very confused but I’ll mark brainlist if you do at least 4! Please and thanks

Answers

Solution: Any value for a variable that makes the equation true.

Reciprocal: Focuses on the use of multiplication and division

Coefficient: A number that is multiplied by a variable in an algebraic expression is a coefficient

Term: A term of an algebraic expression is a number, variable, or product of numbers and variables

Base: The base of a power is the factor that is multiplied repeatedly in the power.

Hope this helps, and have a great day!

Answer:

Solution: any value for a variable that makes an equation true

Reciprocal: focuses on use of multiplication and division

Coefficient: A number being multiplied by a variable in an algebraic expression

Base: the base of a power is a factor that is multiplied repeatedly in power

u got the term definition right

Step-by-step explanation:

A polygon has vertices at (-1,1), (1,1), (1,-1) & (-1,-1) what is the perimeter in units of the polygon

Answers

Answer:

8

Step-by-step explanation:

What is the slope of the line graphed in this grid? Help.

Answers

Answer:

A slope of 2/3

Step-by-step explanation:

if you look at the line, starting at the y axis, then just count up 2 and over three, in other graphed lines, just start at the y axis and try to find where the line crosses a specific point, then calculate the rise/run.

PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

Dont press that persons link! Ok im not sure if this is the correct answer, but anyways.

85 + x = 131
-85. -85
x= 46

I need help with this plssss
Expert plsss help meeeee

Answers

Answer: 350

Step-by-step explanation:

Answer:

1,283 m3

Step-by-step explanation:

Ok so the volume formula is:

V = π×r² × h/3

π (pi) = 3.14

² = power of two so that number times that number

Example:

3² = 3 × 3 = 9

To find the radius since the diameter is given divide by 2:

14 / 2 = 7

Next we solve the equation:

V = 3.14 × 7² × 25/3 = 1282.817

To round to the neareast whole number 1,283

Aidan bought a pizza cut into 5 slices. If he ate one slice for lunch, what percentage of the pizza remained uneaten?

Answers

Answer:

80%

Step-by-step explanation:

You started of with 5/5 once one slice was eat it became 4/5

you must then convert 4/5 into a percent

To convert a fraction to a percent, divide the numerator by the denominator. Then multiply the decimal by 100.

so 4 divided by 5 =0.8

0.8 x 100= 80

80%

hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.

Answers

Answer:

1200

0.65

The answers are in the function

trish wants to buy x oranges and y mangoes which she intends to carry in her bag. Her bag has space for only 6 fruits. Write an inequality to represent this information.

Answers

Answer:

x + y [tex]\leq 6[/tex]

Step-by-step explanation:

The amount of Oranges (x) and the amount of Mangoes (y) will add up to be less than or equal to 6.  

This condition is represented by the inequality x + y ≤ 6

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

In this case, Trish wants to buy x oranges and y mangoes, and she intends to carry them in her bag.

Her bag can hold a maximum of 6 fruits.

Since she wants to buy both types of fruit, the total number of fruits must be less than or equal to 6.

The inequality to represent this situation is:

x + y ≤ 6

This inequality represents that the sum of the number of oranges and mangoes Trish buys should be less than or equal to 6, which is the maximum number of fruits her bag can hold.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ3

if ur lucky u get 25 points!

Answers

Answer:

What do you mean lucky?

Answer:

Yes

Step-by-step explanation:

Can someone help me with this. Thank you.

Answers

Answer:

All are true

Step-by-step explanation:

2) True

3) True

4) True

All the answers are true
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